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Finding the Fourth Proportional to 12,263.41, 16,924.06 and 7,227.84

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Solution

The fourth proportional to 12,263.41, 16,924.06 and 7,227.84 is: 9,974.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,263.41 : 16,924.06 = 7,227.84 : x
  2. Step 2: Convert to fraction form
    12,263.41/16,924.06 = 7,227.84/x
  3. Step 3: Cross multiply
    12,263.41x = 16,924.06 × 7,227.84
  4. Step 4: Simplify right side
    12,263.41x = 122,324,334.48
  5. Step 5: Solve for x
    x = 122,324,334.48/12,263.41
  6. Step 6: Final answer
    x = 9,974.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.